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Goryan [66]
3 years ago
9

What is the simplified form of (4x^2y^3)^3?

Mathematics
1 answer:
levacccp [35]3 years ago
7 0

Answer:

C

Step-by-step explanation:

(4x² 2y³)³ = 64x⁵y⁶

4x4x4 = 64

(x²)³ = x⁵

(y³)³ = y⁶

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Prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.
Brrunno [24]
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.

Let's find a^2 and b^2 by squaring the first 2 side lengths.

(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2

Then add the two to find c^2
x^4+ 2x^2 +1= c^2

Root both sides
x^2+1=c

Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
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3 years ago
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3 0
3 years ago
Read 2 more answers
A man standing at point A walks 1 mile south, 3 miles east, 5 miles north, and 7 miles west to reach point B. The length of line
joja [24]

Answer: √32

Step-by-step explanation: so the displacement is north 4 and west 4 and it becomes a right triangle so the hypotenuse is the distance for segment AB

So Drawn out should like straight lines up,down,left,and right. So east is positive while west is negative same for North(+) and South(-)

I recommend sticking with 2 directions first. Starting with north and south right. First you go south 1 mile but then you go north 5miles in math terms

-1+5=4 or down one is one less than 5

Same for east and west. 3+-7 = -4

So we went positive 4 miles up and 4miles to the left

So (-4)^2+4^2= hypotenuse or AB segment in this case

Download pdf
3 0
3 years ago
23,710 23,751,23,715
Hoochie [10]
23, 710, 23, 751, 23, 715 Least to greatest

23, 23, 23, 710, 715, 751

7 0
3 years ago
Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2
Gelneren [198K]

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that P(A \cap B) = 0.15

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

P(A) = 0.15*0.2 + 0.93*0.8 = 0.774

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

3 0
3 years ago
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